Edexcel Mathematics Sample paper · Paper 2 · Question 15 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

Sample paper · Paper 2 · Question 15 · 10 marks

15. y C l P R O x Figure 4 Figure 4 shows a sketch of the curve C with equation 3 y = 5 2 x– 9x + 11, x  0 The point P with coordinates (4, 15) lies on C. The line l is the tangent to C at the point P. The region R, shown shaded in Figure 4, is bounded by the curve C, the line l and the y-axis. Show that the area of R is 24, making your method clear. (Solutions based entirely on graphical or numerical methods are not acceptable.) (10)

Lesson: Introduction to Integration (Fundamental Theorem of Calculus)